Draw a line MN = 5.8 cm. Locate a point A which is 4.5 cm from M and 5 cm from N. Through A draw a line parallel to line MN.

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Solution

Steps of construction :

1. Draw a line MN = 5.8 cm

2. With M as centre and radius = 4.5 cm, draw an arc.

3. With N as centre draw another arc of radius 5 cm. These arcs intersect each other at A.

4. Join AM and AN.

5. At point A, draw $∠$ DAN = $∠$ ANM

6. Produce DA to any point C.

Thus CAD is the required parallel line.

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